Phương trình: \(2 \sqrt 3 \sin \left( {x - \frac{ \pi }{8}} \right) \cos \left( {x - \frac{ \pi }{8}} \right) + 2{ \cos ^2} \left( {x - \frac{ \pi }{8}} \right) = \sqrt 3 + 1 \) có nghiệm là:
A.\(\left[ \begin{array}{l}x = \frac{{3\pi }}{8} + k\pi \\x = \frac{{5\pi }}{{24}} + k\pi \end{array} \right.,k \in \mathbb{Z}.\)
B.\(\left[ \begin{array}{l}x = \frac{{3\pi }}{4} + k\pi \\x = \frac{{5\pi }}{{12}} + k\pi \end{array} \right.,k \in \mathbb{Z}\)
C.\(\left[ \begin{array}{l}x = \frac{{5\pi }}{4} + k\pi \\x = \frac{{5\pi }}{{16}} + k\pi \end{array} \right.,k \in \mathbb{Z}\)
D.\(\left[ \begin{array}{l}x = \frac{{5\pi }}{8} + k\pi \\x = \frac{{7\pi }}{{24}} + k\pi \end{array} \right.,k \in \mathbb{Z}\)

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